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Finding the Fourth Proportional to 6,852.79, 9,456.38 and 4,057.75

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Solution

The fourth proportional to 6,852.79, 9,456.38 and 4,057.75 is: 5,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.79 : 9,456.38 = 4,057.75 : x
  2. Step 2: Convert to fraction form
    6,852.79/9,456.38 = 4,057.75/x
  3. Step 3: Cross multiply
    6,852.79x = 9,456.38 × 4,057.75
  4. Step 4: Simplify right side
    6,852.79x = 38,371,605.66
  5. Step 5: Solve for x
    x = 38,371,605.66/6,852.79
  6. Step 6: Final answer
    x = 5,599.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.